Answer: 16cm
Step-by-step explanation:
l = 4w
2l + 2w = p
2(4w) + 2w = 40
8w + 2w = 40
10w = 40
w = 4 cm
l = 4w = 4(4) = 16cm
Answer:
see below
Step-by-step explanation:
-1.5
Integers have no fractional parts
-1.5 is -1 1/2 which has a fractional part
The rest are whole numbers and integers
Answer:
The equation showing this situation is 
Step-by-step explanation:
Given : A quadratic equation of the form
has one real number solution.
To find : Which could be the equation?
Solution :
A quadratic equation in form
has a solution
called a quadratic formula in which the roots are one real,two real or no real is determine by discriminant factor.
Discriminant is defined as to determine the number of roots in a quadratic equitation has following rules :
1) If
there are two real roots.
2) If
there are one real roots.
3) If
there are no real roots.
According to question,
A quadratic equation of the form
has one real number solution.
So, The equation showing this situation is 
Answer:
Step-by-step explanation:
x=2 and x = 5 and x = 8
341,427 mod 3 = 0
341457 mod 3 = 0
341487 mod 3 = 0
Product =2 x 5 x 8 = 80
Answer:
The volume of the solid is 
Step-by-step explanation:
In this case, the washer method seems to be easier and thus, it is the one I will use.
Since the rotation is around the y-axis we need to change de dependency of our variables to have
. Thus, our functions with
as independent variable are:
For the washer method, we need to find the area function, which is given by:
![A=\pi\cdot [(\rm{outer\ radius)^2 -(\rm{inner\ radius)^2 ]](https://tex.z-dn.net/?f=A%3D%5Cpi%5Ccdot%20%5B%28%5Crm%7Bouter%5C%20radius%29%5E2%20-%28%5Crm%7Binner%5C%20radius%29%5E2%20%5D)
By taking a look at the plot I attached, one can easily see that for a rotation around the y-axis the outer radius is given by the function
and the inner one by
. Thus, the area function is:
![A(y)=\pi\cdot [(\sqrt{y} )^2-(y^2)^2]\\A(y)=\pi\cdot (y-y^4)](https://tex.z-dn.net/?f=A%28y%29%3D%5Cpi%5Ccdot%20%5B%28%5Csqrt%7By%7D%20%29%5E2-%28y%5E2%29%5E2%5D%5C%5CA%28y%29%3D%5Cpi%5Ccdot%20%28y-y%5E4%29)
Now we just need to integrate. The integration limits are easy to find by just solving the equation
, which has two solutions
and
. These are then, our integration limits.
